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Finding the Third Proportional to 13,181,378,006 and 19,894,649,178

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Solution

The third proportional to 13,181,378,006 and 19,894,649,178 is: 30,026,986,991.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181,378,006 : 19,894,649,178 = 19,894,649,178 : x
  2. Step 2: Convert to fraction form
    13,181,378,006/19,894,649,178 = 19,894,649,178/x
  3. Step 3: Cross multiply
    13,181,378,006x = 19,894,649,178 × 19,894,649,178
  4. Step 4: Simplify right side
    13,181,378,006x = 395,797,065,915,696,087,040
  5. Step 5: Solve for x
    x = 395,797,065,915,696,087,040/13,181,378,006
  6. Step 6: Final answer
    x = 30,026,986,991.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.